4464 has 30 divisors (see below), whose sum is σ = 12896. Its totient is φ = 1440.

The previous prime is 4463. The next prime is 4481. The reversal of 4464 is 4644.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 9.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129 + ... + 159.

2^{4464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448).

4464 is an abundant number, since it is smaller than the sum of its proper divisors (8432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4464 is a wasteful number, since it uses less digits than its factorization.

4464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4464 is about 66.8131723540. The cubic root of 4464 is about 16.4654926214.

The spelling of 4464 in words is "four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464

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